This is the second post looking at building a finite element method solver in Julia. The first post was about mesh generation and language bindings. In this post we are going to focus on performance. We start with the command from the previous post:

node,elem = squaremesh([0 1 0 1],.01)

which generates an array elem where each row holds the reference indices to the 3 points which form a triangle (element). The actual locations of these points are in the array node, and so node(1) gives the points in the (x,y)-plane for the $$i$$th point. What the call is saying is that these are generated for the unit square with mesh-size .01, meaning we have 10201 triangles.

The approach to building the stiffness matrix for the … READ MORE